On an h-type mesh-refinement strategy based on minimization of interpolation errors (Q761108)
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scientific article; zbMATH DE number 3887229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an h-type mesh-refinement strategy based on minimization of interpolation errors |
scientific article; zbMATH DE number 3887229 |
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On an h-type mesh-refinement strategy based on minimization of interpolation errors (English)
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1985
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An adaptive finite element method is proposed which involves an automatic mesh refinement in areas of the mesh where local errors are determined to exceed a pre-assigned limit. The estimation of local errors is based on interpolation error bounds and extraction formulas for highly accurate estimates of second derivatives. Applications to several two-dimensional model problems are discussed. The results indicate that the method can be very effective for both regular problems and problems with strong singularities.
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automatic mesh refinement
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estimation of local errors
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interpolation error bounds
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highly accurate estimates of second derivatives
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two- dimensional model problems
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